Quantum Mirror Curves for \mathbb C³ and the Resolved Confiold

2012/07/03 by Jian Zhou, Zhou, Jian · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1207.0598

openalex publication_date 2012/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a conjecture of Gukov and Sułkowski in the following three cases: Lambert curve for Hurwitz numbers, framed mirror curve of \mathbb C³, and the framed mirror curve of the resolved conifold.

Citations

• Local Mirror Symmetry for One-Legged Topological Vertex
• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Hodge integrals, Hurwitz numbers, and Symmetric Groups

Cited by

• Topological recursion and a quantum curve for monotone Hurwitz numbers
• Quantum curve and bilinear Fermionic form for the orbifold Gromov-Witten theory of ℙ[r]

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